One refined passport of genus 15 with automorphism group $C_{31}$

• Label: 15.31-1.0.31-31-31.66
• Genus: \(15\)
• Quotient genus: \(0\)
• Group: \(C_{31}\)
• Signature: \([ 0; 31, 31, 31 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$15$
Quotient genus:	$0$
Group name:	$C_{31}$
Group identifier:	$[31,1]$
Signature:	$[ 0; 31, 31, 31 ]$

Conjugacy classes for this refined passport:

$7, 7, 20$

The full automorphism group for this family is $C_{62}$ with signature $[ 0; 2, 31, 62 ]$.

Jacobian variety group algebra decomposition:

$A_{15}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.31-1.0.31-31-31.66.1

	(1,7,13,19,25,31,6,12,18,24,30,5,11,17,23,29,4,10,16,22,28,3,9,15,21,27,2,8,14,20,26)
	(1,7,13,19,25,31,6,12,18,24,30,5,11,17,23,29,4,10,16,22,28,3,9,15,21,27,2,8,14,20,26)
	(1,20,8,27,15,3,22,10,29,17,5,24,12,31,19,7,26,14,2,21,9,28,16,4,23,11,30,18,6,25,13)